All categories

3 years ago

5) BRAINLIEST AND 10+ POINTS! :)

Mathematics

2 answers:

nevsk [136]3 years ago

8 0

Answer:

Step-by-step explanation:

We see that C = 20y + 15 and that y = 50x + 5, so let's actually substitute the expression 50x + 5 in for y in the first equation:

C = 20y + 15 = 20 * (50x + 5) + 15

Now, simply distribute the 20:

20 * (50x + 5) + 15 = 20 * 50x + 20 * 5 + 15 = 1000x + 100 + 15 = 1000x + 115

Thus, C in terms of x is C = 1000x + 115, or B.

Hope this helps!

yKpoI14uk [10]3 years ago

4 0

Answer:

b) 1000x + 115

Step-by-step explanation:

C = 20y + 15

= 20(50x + 5) + 15

= 1000x + 100 + 15

= 1000x + 115

You might be interested in

Flora has 33 flowers and she can pick 7 flowers a minute. Write an equation that shows how many flowers, F, that Flora will have

monitta

F=7M
33=M
Both answers will work

3 0

3 years ago

The diagrams shows a 3cm x 5cm x 4cm cuboid.

Vera_Pavlovna [14]

Answer:

a) 5.83 cm

b) 34.45°

Step-by-step explanation:

a) From Pythagoras theorem of right triangles, given right triangle ABC:

AB² + BC² = AC²

Therefore:

AC² = 5² + 3²

AC² = 25 + 9 = 34

AC = √34

AC = 5.83 cm

b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.

From Pythagoras theorem of right triangles, given right triangle ACD:

AD² + AC² = DC²

Therefore:

DC² = 5.83² + 4²

DC² = 34 + 16 = 50

DC = √50

DC = 7.07 cm

Let ∠ACD be x. Therefore using sine rule:

$\frac{4}{sin(x)}=\frac{7.07}{sin(90)} \\ sin(x)=\frac{4*sin(90))}{7.07}=0.5657\\ x=sin^{-1}(0.5657)\\x=34.45^o$

6 0

3 years ago

A license plate consists of 2 letters followed by 3 digits. How many license plates are possible if the 1st digit cannot be 0, a

zloy xaker [14]

There are 608400 plates are possible.

If the first is A, we have 26 possibilities:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

If the first is B, we have 26 possibilities:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

And so on for every letter of the alphabet.

There are 26 choices for the first letter and 26 choices for the second letter. The number of different combinations of 2 letters is:

26×26=676

The same applies for the three digits.

There are 9 choices for the first as first digit cannot be 0

10 for the second,

10 for the third

9×10×10=900

So for a license plate which has 2 letters and 3 digits, there are:

676 × 900 = 608400 possibilities

To learn more about calculating possibilities from the given link

brainly.com/question/4658834

#SPJ4

8 0

2 years ago

If a= -2, y = -3 and z = 4, find the values of the following algebraic expressions. -3az

kipiarov [429]

Answer:

Step-by-step explanation:

substitute the given values for a and z into the expression

- 3az

= - 3(- 2)(4) = 6 × 4 = 24

5 0

2 years ago

42:15 =<br> What is the ratio

vfiekz [6]

The ratio is 14:5, as 42 divided by 3 is 14 and 15 divided by 3 is 5.

8 0

2 years ago